Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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The Flatness Property of Local-cubically Hyponormal Weighted Shifts

  • Baek, Seunghwan (Department of Mathematics, Kyungpook National University) ;
  • Do, Hyunjin (Department of Mathematics, Kyungpook National University) ;
  • Lee, Mi Ryeong (Institute of Liberal Education, Daegu Catholic University) ;
  • Li, Chunji (Department of Mathematics, Northeastern University)
  • Received : 2018.10.16
  • Accepted : 2019.02.20
  • Published : 2019.06.23
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Abstract

In this note we introduce a local-cubically hyponormal weighted shift of order ${\theta}$ with $0{\leq}{\theta}{\leq}{\frac{\pi}{2}}$, which is a new notion between cubic hyponormality and quadratic hyponormality of operators. We discuss the property of flatness for local-cubically hyponormal weighted shifts.

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References

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